{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "Relating Metaculus community distributions: Infections, Deaths, and IFR",
      "provenance": [],
      "collapsed_sections": []
    },
    "kernelspec": {
      "display_name": "Python 3",
      "language": "python",
      "name": "python3"
    },
    "language_info": {
      "codemirror_mode": {
        "name": "ipython",
        "version": 3
      },
      "file_extension": ".py",
      "mimetype": "text/x-python",
      "name": "python",
      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython3",
      "version": "3.6.9"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "EhBL389G-rEu"
      },
      "source": [
        "## Show"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "zNRCXd0XFVpM"
      },
      "source": [
        "- Making COVID infections, deaths, and infections/death ratio predictions on Metaculus more consistent with each other\n",
        "- More broadly: a workflow that connects judgmental and model-based forecasting"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "CJFOosZD4HrI"
      },
      "source": [
        "## Setup"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab_type": "code",
        "id": "XZLCfhi8psDd",
        "colab": {}
      },
      "source": [
        "%%capture\n",
        "%pip install --quiet poetry  # Fixes https://github.com/python-poetry/poetry/issues/532\n",
        "%pip install --quiet git+https://github.com/oughtinc/ergo.git@7f88222f5f7a2e552eb1750d43b6c7924d2f0361"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab_type": "code",
        "id": "Sh8HOrFui_sr",
        "colab": {}
      },
      "source": [
        "import warnings\n",
        "warnings.filterwarnings(action=\"ignore\", category=FutureWarning)\n",
        "warnings.filterwarnings(module=\"plotnine\", action=\"ignore\")\n",
        "warnings.filterwarnings(module=\"jax\", action=\"ignore\")"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab_type": "code",
        "id": "nhanawyV4JEb",
        "colab": {}
      },
      "source": [
        "import ergo\n",
        "import seaborn\n",
        "import numpy as np"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab_type": "code",
        "id": "1ir2AZDC4mdE",
        "colab": {}
      },
      "source": [
        "metaculus = ergo.Metaculus(username=\"oughtpublic\", password=\"123456\")"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "6kxZ4y0QFkBa"
      },
      "source": [
        "## Look at questions on Metaculus\n",
        "* [Total COVID infections before 2021](https://www.metaculus.com/questions/3529/how-many-infections-of-covid-19-will-be-estimated-to-have-occurred-before-2021-50k-1b-range/)\n",
        "* [Total COVID deaths before 2021](https://www.metaculus.com/questions/3530/how-many-people-will-die-as-a-result-of-the-2019-novel-coronavirus-covid-19-before-2021/)\n",
        "* [Chance of dying of COVID if you get it](https://www.metaculus.com/questions/3755/what-will-be-the-ratio-of-fatalities-to-total-estimated-infections-for-covid-19-by-the-end-of-2020/)\n",
        "\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "YN_C7IHb4KEX"
      },
      "source": [
        "### Load questions"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab_type": "code",
        "id": "KKtxb-Ay4Ng-",
        "colab": {}
      },
      "source": [
        "q_infections = metaculus.get_question(3529, name=\"infections\")\n",
        "q_deaths = metaculus.get_question(3530, name=\"deaths\")\n",
        "q_ratio = metaculus.get_question(3755, name=\"ratio\")\n",
        "\n",
        "questions = [q_infections, q_deaths, q_ratio]"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "ubplAWriD7ge"
      },
      "source": [
        "### Show community estimate for each question"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab_type": "code",
        "id": "UsFrR1M1DzsS",
        "outputId": "4785b6b6-6f52-48fe-fa33-26db636df10e",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        }
      },
      "source": [
        "[question.show_community_prediction() for question in questions];"
      ],
      "execution_count": 7,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "w2QdPeKF4OQZ"
      },
      "source": [
        "## Model deaths based on the infection and ratio community estimates"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "2ALoEWpvr9UR"
      },
      "source": [
        "Deaths = infections * deaths/infection"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab_type": "code",
        "id": "zDBJ3BxIz5cA",
        "colab": {}
      },
      "source": [
        "%%capture\n",
        "def deaths_from_infections():\n",
        "  infections = q_infections.sample_community()\n",
        "  ratio = q_ratio.sample_community()\n",
        "  deaths = infections * ratio\n",
        "  ergo.tag(deaths, \"deaths\")\n",
        "  return deaths\n",
        "\n",
        "samples = ergo.run(deaths_from_infections, num_samples=5000)"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "xc8_Nt40pIXS"
      },
      "source": [
        "### How does our model prediction compare to the community prediction?"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab_type": "code",
        "id": "243Ts0Iqr8hc",
        "outputId": "868f1566-b6dc-4a2c-e03a-447a80612d57",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 507
        }
      },
      "source": [
        "q_deaths.show_prediction(samples[\"deaths\"], show_community=True)"
      ],
      "execution_count": 9,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "yIqav8n244K3"
      },
      "source": [
        "### Combine our model with the community prediction"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "tHopAqF85t9f"
      },
      "source": [
        "Mostly defer to the community's predictions on the deaths question, but update a bit towards the model that's based on infections * deaths/infection."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab_type": "code",
        "id": "qfNyzIDu5mSe",
        "colab": {}
      },
      "source": [
        "%%capture\n",
        "def deaths_adjusted():\n",
        "  if ergo.flip(.66):\n",
        "    deaths = q_deaths.sample_community()\n",
        "  else:\n",
        "    deaths = deaths_from_infections()\n",
        "  ergo.tag(deaths, \"adjusted_deaths\")\n",
        "\n",
        "samples = ergo.run(deaths_adjusted, num_samples=5000)\n",
        "\n",
        "adjusted_samples = samples[\"adjusted_deaths\"]"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab_type": "code",
        "id": "l7Mi7NGr8Do6",
        "outputId": "e5fbcea9-c618-4bcd-f031-e3f8902562b6",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 507
        }
      },
      "source": [
        "q_deaths.show_prediction(adjusted_samples, show_community=True)"
      ],
      "execution_count": 11,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "cotB4xww5xiR"
      },
      "source": [
        "## Submit new distribution on deaths to Metaculus"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab_type": "code",
        "id": "R8XbqI_a57on",
        "colab": {}
      },
      "source": [
        "%%capture\n",
        "q_deaths.submit_from_samples(adjusted_samples)"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "OXznq8xu5yAP"
      },
      "source": [
        "**Exercise:** Apply the same idea to estimating infections from deaths"
      ]
    }
  ]
}